The Differential Equations Seminar presents...


Katy Ott -- University of Virginia

Tuesday, October 2nd, 4:30pm

Kerchof 317

Spectral theory for layer potentials associated with the Maxwell system in nonsmooth domains




Abstract : We employ a Rellich type identity to show that the spectrum of a naturally associated integral operator with the Maxwell system lies in the interior of a hyperbola. The vertices and asymptotes of this hyperbola depend only on the Lipschitz constant of the domain under consideration.